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Multi-level fast multipole solution of the scattering problem

Amini, S and Profit, ATJ 2003, 'Multi-level fast multipole solution of the scattering problem' , Engineering Analysis with Boundary Elements, 27 (5) , pp. 547-564.

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Abstract

In this paper we study the multi-level fast multipole solution of Burton and Miller's hypersingular formulation for the Helmholtz equation in two space dimensions. We provide a complete and rigorous error and complexity analysis for the method. We prove the O(nln2n) computational complexity for the method and provide numerical results to support the theory.

Item Type: Article
Uncontrolled Keywords: Helmholtz equation, scattering, burton and miller, hypersingular, fast multipole, complexity
Themes: Subjects / Themes > Q Science > QC Physics
Subjects outside of the University Themes
Schools: Colleges and Schools > College of Science & Technology
Colleges and Schools > College of Science & Technology > School of Computing, Science and Engineering
Journal or Publication Title: Engineering Analysis with Boundary Elements
Publisher: Elsevier
Refereed: Yes
ISSN: 09557997
Depositing User: H Kenna
Date Deposited: 22 Aug 2007 14:14
Last Modified: 20 Aug 2013 16:46
URI: http://usir.salford.ac.uk/id/eprint/308

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